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Simplifying 2x + 2(6x + -8) = 82 Reorder the terms: 2x + 2(-8 + 6x) = 82 2x + (-8 * 2 + 6x * 2) = 82 2x + (-16 + 12x) = 82 Reorder the terms: -16 + 2x + 12x = 82 Combine like terms: 2x + 12x = 14x -16 + 14x = 82 Solving -16 + 14x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 14x = 82 + 16 Combine like terms: -16 + 16 = 0 0 + 14x = 82 + 16 14x = 82 + 16 Combine like terms: 82 + 16 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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